{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T01:41:35Z","timestamp":1648863695323},"reference-count":0,"publisher":"Rinton Press","issue":"11&12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2010,11]]},"abstract":"For a multipartite quantum system of the dimension $d_1\\otimes d_2\\otimes\\cdots\\otimes d_n$, where $d_1\\ge d_2\\ge\\cdots\\ge d_n\\ge2$, is there an entangled state {\\em maximum} in the sense that all other states in the system can be obtained from the state through local quantum operations and classical communications (LOCC)? When $d_1\\ge\\Pi_{i=2}^n d_i$, such state exists. We show that this condition is also necessary. Our proof, somewhat surprisingly, uses results from algebraic complexity theory.<\/jats:p>","DOI":"10.26421\/qic10.11-12-3","type":"journal-article","created":{"date-parts":[[2021,3,7]],"date-time":"2021-03-07T20:53:00Z","timestamp":1615150380000},"page":"925-935","source":"Crossref","is-referenced-by-count":0,"title":["When is there a multipartite maximum entangled state?"],"prefix":"10.26421","volume":"10","author":[{"given":"Runyao","family":"Duan","sequence":"first","affiliation":[]},{"given":"Yaoyun","family":"Shi","sequence":"additional","affiliation":[]}],"member":"10955","published-online":{"date-parts":[[2010,11]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,3,7]],"date-time":"2021-03-07T20:53:03Z","timestamp":1615150383000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC10.11-12-3.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11]]},"references-count":0,"journal-issue":{"issue":"11&12","published-online":{"date-parts":[[2010,11]]},"published-print":{"date-parts":[[2010,11]]}},"URL":"https:\/\/doi.org\/10.26421\/qic10.11-12-3","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11]]}}}